963560160 has 288 divisors, whose sum is σ = 3509775360. Its totient is φ = 240159744.

The previous prime is 963560123. The next prime is 963560161. The reversal of 963560160 is 61065369.

963560160 is a `hidden beast` number, since 9 + 635 + 6 + 0 + 16 + 0 = 666.

963560160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963560161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556331 + ... + 1556949.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^963560160 is an apocalyptic number.

963560160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

963560160 is an abundant number, since it is smaller than the sum of its proper divisors (2546215200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

963560160 is a wasteful number, since it uses less digits than its factorization.

963560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 963560160 is about 31041.2654381228. The cubic root of 963560160 is about 987.7027850386.

The spelling of 963560160 in words is "nine hundred sixty-three million, five hundred sixty thousand, one hundred sixty".